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Finding the Third Proportional to 365,796 and 485,496

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Solution

The third proportional to 365,796 and 485,496 is: 644,365.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,796 : 485,496 = 485,496 : x
  2. Step 2: Convert to fraction form
    365,796/485,496 = 485,496/x
  3. Step 3: Cross multiply
    365,796x = 485,496 × 485,496
  4. Step 4: Simplify right side
    365,796x = 235,706,366,016
  5. Step 5: Solve for x
    x = 235,706,366,016/365,796
  6. Step 6: Final answer
    x = 644,365.62

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.